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MODULE 1: Pre-number Concepts and Place Value- Practice Questions
1. Sketch the base pieces for the unit, long, and flat for each of the bases:
a. Base seven
b. Base
Sketch base pieces
for thethree
unit, long, and flat for each of the
Sketch
minimum
number
bases inthe
exercises
9 and
10. of base-ten pieces needed to
replace
each
set
in
7
and
8. number of base-ten pieces
2.9. Sketch
the minimum
a. Base seven
7. b. Base three
needed to replace the set below:
10. a. Base five
b. Base twelve
Sketch the minimum number of base pieces for the bases
8. Sketch
given
in exercises
11 and 12 to
represent
following
3.
the minimum
number
ofthe
base
piecessetfor the bases given below to represent the
of units.
Then write
number
of write
units in
following
set ofthe
units.
Then
thepositional
number of units in positional notation for the given
notation
for
the
given
base.
base.
a. Base seven
11. a. Base seven
Sketch
for thefive
unit, long, and flat for each of the
b. Base
b. base
Basepieces
five
bases in exercises 9 and 10.
12. a. Base twelve
4.9. Determine
a. Base
b.
Base seven
threethe total number of units to which the
b. Base three
base.
In exercises 13 and 14, determine the total number of
a.theBase
five: 3 flats, 4 longs, 3 units
10. a.to Base
five
units
which
base pieces are equivalent for the given
b.
Base
eight: 6 flats, 0 longs, 5 units
base.b. Base twelve
base pieces are equivalent for the given
Sketch the minimum number of base pieces for the bases
13. a. Base five: 3 flats, 4 longs, 3 units
5.
each of
the
below in expanded form:
givenWrite
exercises
and numbers
12
to represent
b.inBase
eight:11
6 flats,
0 longs,
5 unitsthe following set
a. write
256,049
of units. Then
the number of units in positional
14. a. Base
twelve:
8base.
flats,
7 longs, 8 units
notation
for the
b. given
4033
five
b. Base three: 2 long-flats, 1 flat, 2 longs, 1 unit
15. Determine
The numeration
on each
the next
page were used
6.
thesystems
value of
underlined
digitatand its place value.
different a.
times
in different geographic locations. Com436,089
these
of numerals for the numbers 1 through
11. pare
a. Base
seven
b.sets111,111
five
10.
What
similarities
can you find? For each system,
b. Base five
c.
73,783,220
what evidence is there of grouping by 5s?
12. a. Base twelve
b. Basethe
three
7. Write
names of the following numbers.
4050
In exercises a.
13 and
14, determine the total number of
b.
units to which the567,428,921
base pieces are equivalent for the given
base.
c. 70,194,733
d. 5,211,433,289
13. a. Base five:
3 flats, 4 longs, 3 units
b. Base eight: 6 flats, 0 longs, 5 units
14. a. Base twelve: 8 flats, 7 longs, 8 units
b. Base three: 2 long-flats, 1 flat, 2 longs, 1 unit
15. The numeration systems on the next page were used at
different times in different geographic locations. Compare these sets of numerals for the numbers 1 through
10. What similarities can you find? For each system,
what evidence is there of grouping by 5s?
8. Round 43,668,926 to the nearest given place value below.
a. Hundred thousand
b. Ten thousand
c. Thousand
d. Hundred
9. Make a sketch of the given model for each number of units.
a. 108, using the bundle-of-sticks model
b. 570, using base-ten pieces
c. 93, using base-five pieces
d. 70, using base-twelve pieces
10. If the calculator view screen displays nine digits and that numbers are entered into the
calculator using only the keys 1,2,3,4,5,6,7,8 and 9.
a. What is the smallest whole number that can be formed to fill the calculator view
screen if each of these keys is used exactly once?
b. What is the smallest whole number that can be formed to fill the calculator view
screen if a key can be used more than once?
Competency Practice Questions, page 2 of 2
Module 1 Practice Question Answers 1. 2. 3. 4. 5. a. 2(105 )+ 5(104) + 6(103) + 0(102) +4(101) + 9(100) = 2(100000)+5(10000)+6(1000)+0(100)+4(10)+9(1) b. 4(53)+0(52)+3(51)+3(50) = 4(125)+0(25)+3(5)+5(1) 6. a. The value is 30,000; the place value is ten thousands b. The value is 3125; the place value is 55 c. The value is 70,000,000; the place value is ten millions 7. a. Four thousand fifty b. Five hundred sixty-­‐seven million, four hundred twenty-­‐eight thousand, nine hundred twenty-­‐one c. Seventy million, one hundred ninety-­‐four thousand, seven hundred thirty-­‐three 8. 9. 10.